{"title":"Kato–Ponce inequality with $$A_{\\vec P}$$ weights","authors":"Sean Douglas","doi":"10.1007/s13348-024-00434-y","DOIUrl":null,"url":null,"abstract":"<p>We prove the Kato–Ponce inequality (fractional normed Leibniz rule) for multiple factors in the setting of <i>multiple weights</i> (<span>\\(A_{\\vec P}\\)</span> weights). This improves existing results to the product of <i>m</i> factors and extends the class of known weights for which the inequality holds.</p>","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Collectanea Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s13348-024-00434-y","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We prove the Kato–Ponce inequality (fractional normed Leibniz rule) for multiple factors in the setting of multiple weights (\(A_{\vec P}\) weights). This improves existing results to the product of m factors and extends the class of known weights for which the inequality holds.
期刊介绍：
Collectanea Mathematica publishes original research peer reviewed papers of high quality in all fields of pure and applied mathematics. It is an international journal of the University of Barcelona and the oldest mathematical journal in Spain. It was founded in 1948 by José M. Orts. Previously self-published by the Institut de Matemàtica (IMUB) of the Universitat de Barcelona, as of 2011 it is published by Springer.
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